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Equivalence of weak formulations of the steady water wave equations
journal contribution
posted on 2023-06-08, 00:09 authored by Eugen Varvaruca, Arghir ZarnescuWe prove the equivalence of three weak formulations of the steady water waves equations, namely: the velocity formulation, the stream function formulation and the Dubreil-Jacotin formulation, under weak Hölder regularity assumptions on their solutions.
History
Publication status
- Published
Journal
Philosophical Transactions A: Mathematical, Physical and Engineering SciencesISSN
1364-503XPublisher
Royal SocietyExternal DOI
Issue
1964Volume
370Page range
1703-1719Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes